Newtonian Dynamics from the Principle of Maximum Caliber
Author
dc.contributor.author
González, Diego
Author
dc.contributor.author
Davis Irarrázabal, Sergio Michael
es_CL
Author
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Gutiérrez Gallardo, Gonzalo
es_CL
Admission date
dc.date.accessioned
2014-12-15T13:03:49Z
Available date
dc.date.available
2014-12-15T13:03:49Z
Publication date
dc.date.issued
2014
Cita de ítem
dc.identifier.citation
Found Phys (2014) 44:923–931
en_US
Identifier
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DOI 10.1007/s10701-014-9819-8
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/119822
General note
dc.description
Artículo de publicación ISI
en_US
Abstract
dc.description.abstract
The foundations of Statistical Mechanics can be recovered almost in their
entirety from the principle of maximum entropy. In this work we show that its
non-equilibrium generalization, the principle of maximum caliber (Jaynes, Phys Rev
106:620–630, 1957), when applied to the unknown trajectory followed by a particle,
leads to Newton’s second lawunder two quite intuitive assumptions (both the expected
square displacement in one step and the spatial probability distribution of the particle
are known at all times). Our derivation explicitly highlights the role of mass as an
emergent measure of the fluctuations in velocity (inertia) and the origin of potential
energy as a manifestation of spatial correlations. According to our findings, the application
ofNewton’s equations is not limited tomechanical systems, and therefore could
be used in modelling ecological, financial and biological systems, among others.